1.

Match the following lists:

Answer»


SOLUTION :a. `f(x)=cot^(-1)(2x-x^(2)-2)`
`=cot^(-1)(-1-(x-1)^(2))`
Now` -OO lt -1 -(x-1)^(2) lt -1`
` :. Cot^(-1) (-1-(x-1)^(2)) in [(3pi)/(4),pi)`
Also, `f(0)=f(2)`
So, `f(x)` is onto and many-one.
B.

Clearly, from the graph, `f(x)` is many-one and onto.
c.

d. Clearly, `f(x)` is INVERSE to itself.
So, `f(x)` is BIJECTIVE.


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